For f left parenthesis x right parenthesis equals startroot x endroot and g left parenthesis x right parenthesis equals 4 x plus 9 comma find the following composite functions and state the domain of each. (a) fcircleg (b) gcirclef (c) fcirclef (d) gcircleg

Step-by-step explanation:

Given that there are two functions f and g as

We have to find the composition of functions.

Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.

a)

b)

c)

d)

dsfdsf

step-by-step explanation:

fddsf

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb